# Necessary Optimality Conditions for a Lotka-Volterra Three Species System

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 1, Issue: 1, page 120-132
- ISSN: 0973-5348

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topApreutesei, N. C.. "Necessary Optimality Conditions for a Lotka-Volterra Three Species System." Mathematical Modelling of Natural Phenomena 1.1 (2010): 120-132. <http://eudml.org/doc/222366>.

@article{Apreutesei2010,

abstract = {
An optimal control problem is studied
for a Lotka-Volterra system of three differential equations. It
models an ecosystem of three species which coexist. The species
are supposed to be separated from each others. Mathematically,
this is modeled with the aid of two control variables. Some
necessary conditions of optimality are found in order to maximize
the total number of individuals at the end of a given time
interval.
},

author = {Apreutesei, N. C.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {adjoint system; bang-bang control; cost
functional; Pontrjagin's maximum principle; transversality
conditions},

language = {eng},

month = {3},

number = {1},

pages = {120-132},

publisher = {EDP Sciences},

title = {Necessary Optimality Conditions for a Lotka-Volterra Three Species System},

url = {http://eudml.org/doc/222366},

volume = {1},

year = {2010},

}

TY - JOUR

AU - Apreutesei, N. C.

TI - Necessary Optimality Conditions for a Lotka-Volterra Three Species System

JO - Mathematical Modelling of Natural Phenomena

DA - 2010/3//

PB - EDP Sciences

VL - 1

IS - 1

SP - 120

EP - 132

AB -
An optimal control problem is studied
for a Lotka-Volterra system of three differential equations. It
models an ecosystem of three species which coexist. The species
are supposed to be separated from each others. Mathematically,
this is modeled with the aid of two control variables. Some
necessary conditions of optimality are found in order to maximize
the total number of individuals at the end of a given time
interval.

LA - eng

KW - adjoint system; bang-bang control; cost
functional; Pontrjagin's maximum principle; transversality
conditions

UR - http://eudml.org/doc/222366

ER -

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